Critical Velocity of Pipes Conveying Fluid Resting on Winkler Foundation
Critical flow velocity of pinned-pinned pipes conveying fluid resting on Winkler foundation is investigated using the Galerkin and complex mode methods. After discretizing the governing equation with the Galerkin method, critical velocity is obtained in terms of the condition of divergence instability. Complex mode method is applied directly in the partial differential governing equation to validate the results. It is concluded that the lower-order Galerkin method is valid only for the case of weak-rigidity foundation. when the rigidity of the foundation is stronger, higher orders are needed for accurate results. It is also found that the critical velocity is always concerned with the foundation rigidity and the axial tension force, however the viscoelastic coefficient and mass ratio have no effect on it.
F. Liang et al., "Critical Velocity of Pipes Conveying Fluid Resting on Winkler Foundation," Jixie Qiangdu/Journal of Mechanical Strength, Jixie Gongyebu, Zhengzhou Jixie Yanjiusuo, Jan 2011.
Mechanical and Aerospace Engineering
Keywords and Phrases
Critical Velocity; Galerkin Method; Pipes Conveying Fluid; Winkler Foundation
Article - Journal
© 2011 Jixie Gongyebu, Zhengzhou Jixie Yanjiusuo , All rights reserved.
01 Jan 2011